Electromagnetic Duality and New Solutions of the Non-minimally Coupled Y(R)-Maxwell Gravity

Abstract

Non-minimally coupled Y(R)-Maxwell gravity which have some interesting solutions may be used to understand dark matter, dark energy, the origin of cosmic magnetic field and the evaluation of the universe. We give some new solutions to the model such as spherically symmetric electric, magnetic and dyon solutions. We point out an existence of an electromagnetic duality transformation for the model.

arXiv comment10 pages, accepted for publication in MPLA

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• Noether Symmetry Approach to the Non-Minimally Coupled $Y(R)F^2$ Gravity
• Anisotropic Stars in the Non-minimal $Y(R)F^2$ Gravity
• Anisotropic cosmological solutions to the $Y(R)F^2$ gravity
• The non-minimally coupled symmetric teleparallel gravity with electromagnetic field
• Inflation of the Universe by the Non-minimal $Y(R)F^2$ Models
• Wormholes in the Non-minimally Coupled Gravity with Electromagnetism
• Gravastars in a Non-minimally Coupled Gravity with Electromagnetism